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Finding the Third Proportional to 157,803 and 339,666

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Solution

The third proportional to 157,803 and 339,666 is: 731,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,803 : 339,666 = 339,666 : x
  2. Step 2: Convert to fraction form
    157,803/339,666 = 339,666/x
  3. Step 3: Cross multiply
    157,803x = 339,666 × 339,666
  4. Step 4: Simplify right side
    157,803x = 115,372,991,556
  5. Step 5: Solve for x
    x = 115,372,991,556/157,803
  6. Step 6: Final answer
    x = 731,120.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.